Given that each character has 2 options,the total number of combinations is calculated as follows:
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To determine the number of possible combinations for a password consisting of 16 characters, we need to consider each character as an independent entity. Each character can be any of the available options, and the total number of combinations is calculated by raising the number of options to the power of the number of characters.
[ 2^{16} = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 ]
Breaking it down step by step:
[ 2^{16} = 2^8 \times 2^8 = 256 \times 256 = 65,536 ]
However, the final answer should be presented in a boxed format as per the instructions. The number of possible combinations is:
[ \boxed{2^{16}} ]
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